

from __future__ import annotations

import collections
import pprint
from pathlib import Path







def       lowercase					(	__A :					str		)				->			str:





    '''simple docstring'''




    return "".join(sorted(__A		)		)







def       lowercase					(	__A :					str		)				->			list[str]:





    '''simple docstring'''




    return word_by_signature[signature(__A		)]


__lowercase     : str       =						Path(__file__).parent.joinpath('''words.txt''').read_text(encoding='''utf-8''')
__lowercase     : Any       =						sorted({word.strip().lower() for word in data.splitlines()})

__lowercase     : List[str]       =						collections.defaultdict(list)
for word in word_list:
     word_by_signature[signature(word)].append(word)

if __name__ == "__main__":
     __lowercase     : List[str]       =						{word: anagram(word) for word in word_list if len(anagram(word)) > 1}

     with open('''anagrams.txt''', '''w''') as file:
          file.write('''all_anagrams = \n ''')
          file.write(pprint.pformat(all_anagrams))








def  lowerCAmelCase_	(lowerCAmelCase__:		Union[str, Any]		,						lowerCAmelCase__:		Optional[int]  ):





			"""simple docstring"""


			UpperCAmelCase_:		List[str]							      =     0
			UpperCAmelCase_:		Tuple							      =     len(lowerCAmelCase__  ) - 1

			while left <= right:
						# avoid divided by 0 during interpolation
						if sorted_collection[left] == sorted_collection[right]:
									if sorted_collection[left] == item:
												return left
									else:
												return None

						UpperCAmelCase_:		Dict							      =     left + ((item - sorted_collection[left]) * (right - left)) // (
						    sorted_collection[right] - sorted_collection[left]
						)

						# out of range check
						if point < 0 or point >= len(lowerCAmelCase__  ):
									return None

						UpperCAmelCase_:		str							      =     sorted_collection[point]
						if current_item == item:
									return point
						else:
									if point < left:
												UpperCAmelCase_:		int							      =     left
												UpperCAmelCase_:		str							      =     point
									elif point > right:
												UpperCAmelCase_:		List[str]							      =     right
												UpperCAmelCase_:		Optional[int]							      =     point
									else:
												if item < current_item:
															UpperCAmelCase_:		Optional[Any]							      =     point - 1
												else:
															UpperCAmelCase_:		Any							      =     point + 1
			return None







def  lowerCAmelCase_	(lowerCAmelCase__:		Dict		,						lowerCAmelCase__:		List[Any]		,						lowerCAmelCase__:		Any		,						lowerCAmelCase__:		Any  ):





			"""simple docstring"""


			if sorted_collection[left] == sorted_collection[right]:
						if sorted_collection[left] == item:
									return left
						else:
									return None

			UpperCAmelCase_:		Union[str, Any]							      =     left + ((item - sorted_collection[left]) * (right - left)) // (
			    sorted_collection[right] - sorted_collection[left]
			)

			# out of range check
			if point < 0 or point >= len(lowerCAmelCase__  ):
						return None

			if sorted_collection[point] == item:
						return point
			elif point < left:
						return interpolation_search_by_recursion(lowerCAmelCase__		,						lowerCAmelCase__		,						lowerCAmelCase__		,						lowerCAmelCase__  )
			elif point > right:
						return interpolation_search_by_recursion(lowerCAmelCase__		,						lowerCAmelCase__		,						lowerCAmelCase__		,						lowerCAmelCase__  )
			else:
						if sorted_collection[point] > item:
									return interpolation_search_by_recursion(
									    lowerCAmelCase__		,						lowerCAmelCase__		,						lowerCAmelCase__		,						point - 1  )
						else:
									return interpolation_search_by_recursion(
									    lowerCAmelCase__		,						lowerCAmelCase__		,						point + 1		,						lowerCAmelCase__  )







def  lowerCAmelCase_	(lowerCAmelCase__:		Dict  ):





			"""simple docstring"""


			if collection != sorted(lowerCAmelCase__  ):
						raise ValueError("""Collection must be ascending sorted"""  )
			return True


if __name__ == "__main__":
	import sys
	a      :  Optional[Any]			     =			0
	if debug == 1:
		a      :  int			     =			[10, 30, 40, 45, 50, 66, 77, 93]
		try:
			__assert_sorted(collection)
		except ValueError:
			sys.exit('Sequence must be ascending sorted to apply interpolation search')
		a      :  int			     =			67

	a      :  Any			     =			interpolation_search(collection, target)
	if result is not None:
		print(F'''{target} found at positions: {result}''')
	else:
		print('Not found')






